Signal Phase Separation

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Hi All

I am working on a project with same frequency signals but different phases. I just wanted to know if anybody knows the method to separate these signals from each other?

Let’s assume that we have the following signals

S1=A1sin(wt+p1)

S2=A2sin(wt+p2)

W=2*pi*f which f is frequency

And our signal is S=S1+S2

Is there any way to extract and separate S1 and S2 from S? unfortunately both phases are unknown. However, we know the frequencies.

Any comments and clues on above problem is much appreciated.

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The sum of two sinusoids at same frequency is a sinusoid at same frequency. So I doubt there is anyway to recover original phases.

In a comparative sense you may be able to measure phase of S such as IQ demodulator. keeping everything else constant then the change of S phase will change in relation to phase of S1,S2. But this is rather unrealistic application.